## CARABEAMER: A Treatment Planner for a Robotic Radiosurgical System with General Kinematics (1998)

Venue: | Medical Image Analysis |

Citations: | 14 - 5 self |

### BibTeX

@ARTICLE{Tombropoulos98carabeamer:a,

author = {Rhea Z. Tombropoulos and John R. Adler and Jean-claude Latombe},

title = {CARABEAMER: A Treatment Planner for a Robotic Radiosurgical System with General Kinematics},

journal = {Medical Image Analysis},

year = {1998},

volume = {3},

pages = {3--3}

}

### Years of Citing Articles

### OpenURL

### Abstract

: Stereotactic radiosurgery is a minimally invasive procedure that uses a focused beam of radiation as an ablative instrument to destroy brain tumors. To deposit a high dose of radiation in a tumor, while reducing the dose to healthy tissue, a large number of beams are crossfired at the tumor from multiple directions. The treatment planning problem (also called the inverse dosimetry problem) is to compute a set of beams that produces a desired dose distribution. So far, its investigation has focused on the generation of isocenter-based treatments in which the beam axes intersect at a common point, the isocenter. However, this restriction limits the applicability of the treatments to tumors having simple shapes. This paper describes carabeamer, a new treatment planner for a radiosurgical system in which the radiation source can be arbitrarily positioned and oriented by a six-degree-of-freedom manipulator. This planner uses randomized techniques to guess a promising initial set of beams....

### Citations

407 | Re-tiling polygonal surfaces
- Turk
- 1992
(Show Context)
Citation Context ...ind a satisfactory set of beams. This observation led us to modify Generate-Beam-Set to produce a greater density of target points where surface curvature is higher. Our planner uses the algorithm in =-=[40]-=- to compute the curvature of a triangulated surface at every vertex. The number of target points picked at random in each triangle then grows with the area of the triangle, as well as with the average... |

234 | Generating textures on arbitrary surfaces using reaction-diffusion
- Turk
- 1991
(Show Context)
Citation Context ... area relative to the total area of the triangulation. Next, in each triangle, it picks the points at random with uniform distribution [38]. Finally, it uses the point-repulsion technique proposed in =-=[39]-=- to move the points and uniformly space them over the entire tumor surface. The points obtained after those three steps are the target points. (a) (b) (c) T T hot spot T Figure 7: Strategies for choos... |

165 |
Optimal surface reconstruction from planar contours, Graphics Image Processing 20
- Fuchs, Kedem, et al.
- 1977
(Show Context)
Citation Context ...Gamma 1, Carabeamer creates a triangulation between T i and T i+1 . It then triangulates the two polygons T 1 and T r . The triangulation between T i and T i+1 is done using the algorithm proposed in =-=[12]-=-. The triangulations of T 1 and T r are done using the algorithm presented in [32]. But other techniques (producing different triangulations) could have been used as well. As mentioned above, Carabeam... |

119 | Clin Oncol - unknown authors |

88 | A random sampling scheme for path planning - Barraquand, Kavraki, et al. - 1996 |

80 |
MINOS 5.4 USER'S GUIDE
- Murtagh, Saunders
- 1995
(Show Context)
Citation Context ...ign an efficient assembly planning technique. Solving the obtained set of inequalities for w 1 ; : : : ; wN is a linear programming problem. We solve this problem using the optimization software minos=-=[25]-=- which uses a modified version of the simplex algorithm. To facilitate the work of Modify-Beam-Set, in the case where no solution is found, we introduce one variable per inequality, which measures the... |

24 |
Generating random points in triangles
- Turk
- 1990
(Show Context)
Citation Context ...f points to each triangle, proportional to the triangle's surface area relative to the total area of the triangulation. Next, in each triangle, it picks the points at random with uniform distribution =-=[38]-=-. Finally, it uses the point-repulsion technique proposed in [39] to move the points and uniformly space them over the entire tumor surface. The points obtained after those three steps are the target ... |

20 |
A system for stereotactic radiosurgery with a linear accelerator
- Lutz, Winston, et al.
- 1988
(Show Context)
Citation Context ...nd surrounding tissues. This problem has already received considerable attention in the context of conventional radiosurgical systems (for instance, see [6, 13, 15]). These systems, such as the LINAC =-=[19]-=- and the Gamma Current address: Silicon Graphics Inc., 2011 N. Shoreline Blvd., ms. 984, Mountain View, CA 94043-1389. E-mail: rzt@engr.sgi.com y Neurosurgery Department. E-mail: adler@robotics.stanfo... |

16 |
The method of linear programming applied to radiation treatment planning.” Radiology 91:686–693
- Bahr, Kereiakes, et al.
- 1968
(Show Context)
Citation Context ... require the user to specify a set of beams or, in some instances, the locations of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming =-=[4, 17, 24, 27]-=-, quadratic programming [21, 22, 33], or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible.... |

15 | Latombe, “Treatment planning for a radiosurgical system with general kinematics
- Schweikard, Tombropoulos, et al.
- 1994
(Show Context)
Citation Context ...ction 7 concludes the paper and suggests areas for future research. The planning techniques implemented in carabeamer are adaptations and extensions of techniques that we have previously presented in =-=[2, 3, 29, 30, 31, 35, 36]-=-. An extensive description of carabeamer and the experimental results obtained with it can be found in [34]. Throughout this paper, we will refer to the physician responsible for developing a treateme... |

14 |
Optimization of beam weights under dose-volume restrictions
- Langer, Leong
- 1987
(Show Context)
Citation Context ... require the user to specify a set of beams or, in some instances, the locations of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming =-=[4, 17, 24, 27]-=-, quadratic programming [21, 22, 33], or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible.... |

11 |
Computer assisted spine surgery: a technique for transpedicular screw fixation using CT data and a 3D optical localizer
- Lavallée, Sautot, et al.
- 1994
(Show Context)
Citation Context ...lying carabeamer (and the CyberKnife system) to extracranial tumors. One major issue outside the brain is to reliably localize tissue structures. This localization problem can be dealt with for spine =-=[18]-=- and prostate tumors [37]. In those two cases, tissue of interest can be localized relative to nearby bone structures. This led us to experiment with carabeamer on several spine and prostate tumor cas... |

11 | Motion Planning in Stereotaxic Radiosurgery
- Schweikard, Adler, et al.
- 1993
(Show Context)
Citation Context ...], or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented in =-=[28]-=- sees the critical structures as if they were obstacles obstructing access to and exit from the tumor. As noted in the introduction, isocenter-based planning methods are well adapted to the kinematics... |

10 |
Optimization by simulated annealing of three-dimensional, conformal treatment planning for radiation fields defined by a multileaf collimator: II. Inclusion of two-dimensional modulation of the x-ray intensity. Phys Med Biol
- Webb
- 1992
(Show Context)
Citation Context ...ions of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming [4, 17, 24, 27], quadratic programming [21, 22, 33], or simulated annealing =-=[8, 23, 41]-=-, to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented in [28] sees the critical structures as ... |

9 |
Optimization of stationary and moving beam radiation therapy techniques. Radiother Oncol 1988;12:129
- Brahme
(Show Context)
Citation Context ...enter-based treatments, in which the tumor region is first approximated by a collection of spheres. Although the inverse dosimetry problem has been mathematically solved in 2-D for a single isocenter =-=[6, 7, 10, 16]-=-, the problem becomes substantially more complex in 3-D [13], especially in the absence of major symmetries. In that case, most proposed systems require the user to specify a set of beams or, in some ... |

8 |
An inverse problem in radiation therapy
- Barth
- 1990
(Show Context)
Citation Context ... given desired dose distribution in the tumor and surrounding tissues. This problem has already received considerable attention in the context of conventional radiosurgical systems (for instance, see =-=[6, 13, 15]-=-). These systems, such as the LINAC [19] and the Gamma Current address: Silicon Graphics Inc., 2011 N. Shoreline Blvd., ms. 984, Mountain View, CA 94043-1389. E-mail: rzt@engr.sgi.com y Neurosurgery D... |

6 |
Polyhedral assembly partitioning using maximally covered cells in arrangements of convex polytopes
- Guibas, Halperin, et al.
- 1998
(Show Context)
Citation Context ...in Tsw 1 ; D min Tsw 3 ; D min Tsw 4 ; w 1 + w 2 + w 4sD max T ; w 1 + w 3 + w 4sD max T ; w 2sD max C : Interestingly, the same concept of minimally and maximally covered cells has also been used in =-=[14]-=- to design an efficient assembly planning technique. Solving the obtained set of inequalities for w 1 ; : : : ; wN is a linear programming problem. We solve this problem using the optimization softwar... |

6 |
An implementation f Watson's algorithm for computing 2-dimensional Delaunay triangulation
- Sloan, Houlsby
- 1984
(Show Context)
Citation Context ...ulates the two polygons T 1 and T r . The triangulation between T i and T i+1 is done using the algorithm proposed in [12]. The triangulations of T 1 and T r are done using the algorithm presented in =-=[32]-=-. But other techniques (producing different triangulations) could have been used as well. As mentioned above, Carabeamer allows the user to define several disjoint regions to represent the tumor. (In ... |

6 | Treatment planning for image-guided robotic radiosurgery
- Tombropoulos, Schweikard, et al.
- 1995
(Show Context)
Citation Context ...ions and extensions of techniques that we have previously presented in [2, 3, 29, 30, 31, 35, 36]. An extensive description of carabeamer and the experimental results obtained with it can be found in =-=[34]-=-. Throughout this paper, we will refer to the physician responsible for developing a treatement plan (hence, to the user of carabeamer) as the neurosurgeon. However, the neurosurgeon works closely wit... |

6 |
Dynamic field shaping for stereotactic radiosurgery: a modeling study
- Nedzi, Kwy, et al.
- 1993
(Show Context)
Citation Context ...ng the traditional circular collimator shape to modify the beam shape and to produce non-spherical dose distributions (Podgorsak et al., 1988; Colombo et al., 1990; Leavitt et al., 1991; Carol, 1993; =-=Nedzi et al., 1993-=-; Fraass et al., 1995; Gustafsson et al., 1995; Ramani et al., 1995). Such modifications range from simple adjustments to the circular shape of the collimator, using one or more sets of parallel indep... |

5 |
Treatment planning optimization using constrained simulated annealing
- Morrill, Lane, et al.
- 1991
(Show Context)
Citation Context ... require the user to specify a set of beams or, in some instances, the locations of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming =-=[4, 17, 24, 27]-=-, quadratic programming [21, 22, 33], or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible.... |

5 | The mathematics and physics of radiation dose planning using X-rays.” Contemp - Cormack, Quinto - 1990 |

5 |
Clinically relevant optimization of 3-D conformal treatments
- Mohan, Mageras, et al.
- 1992
(Show Context)
Citation Context ...al., 1968; Langer and Leong, 1987; Morrill et al., 1991; Rosen et al., 1991), quadratic programming (McDonald and Rubin, 1977; Starkschall, 1984; Ma et al., 1987), or simulated annealing (Webb, 1991; =-=Mohan et al., 1992-=-; Carol, 1993), to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented by Schweikard et al. (1993... |

4 | Image-Guided Robotic Radiosurgery
- Adler, Schweikard, et al.
- 1994
(Show Context)
Citation Context ...ction 7 concludes the paper and suggests areas for future research. The planning techniques implemented in carabeamer are adaptations and extensions of techniques that we have previously presented in =-=[2, 3, 29, 30, 31, 35, 36]-=-. An extensive description of carabeamer and the experimental results obtained with it can be found in [34]. Throughout this paper, we will refer to the physician responsible for developing a treateme... |

4 |
A constrained least-squares optimization method for external beam radiation therapy treatment planning
- Starkschall
- 1984
(Show Context)
Citation Context ...eams or, in some instances, the locations of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming [4, 17, 24, 27], quadratic programming =-=[21, 22, 33]-=-, or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented in [... |

3 |
A Problem in Rotation Therapy with X-rays: Dose Distributions with an Axis of Symmetry
- Cormack, Cormack
- 1987
(Show Context)
Citation Context ...enter-based treatments, in which the tumor region is first approximated by a collection of spheres. Although the inverse dosimetry problem has been mathematically solved in 2-D for a single isocenter =-=[6, 7, 10, 16]-=-, the problem becomes substantially more complex in 3-D [13], especially in the absence of major symmetries. In that case, most proposed systems require the user to specify a set of beams or, in some ... |

3 | Variables associated with the development of complications fiom radiosurgery of intracranial tumors - Nehi, Kooy, et al. - 1990 |

3 |
Conformal External Radiotherapy of Prostatic Carcinoma
- Troccaz
- 1993
(Show Context)
Citation Context ... CyberKnife system) to extracranial tumors. One major issue outside the brain is to reliably localize tissue structures. This localization problem can be dealt with for spine [18] and prostate tumors =-=[37]-=-. In those two cases, tissue of interest can be localized relative to nearby bone structures. This led us to experiment with carabeamer on several spine and prostate tumor cases. The challenge with sp... |

3 |
A computer-controlled conformal radiotherapy system I: overview
- Fraass, McShan, et al.
- 1995
(Show Context)
Citation Context ...ircular collimator shape to modify the beam shape and to produce non-spherical dose distributions (Podgorsak et al., 1988; Colombo et al., 1990; Leavitt et al., 1991; Carol, 1993; Nedzi et al., 1993; =-=Fraass et al., 1995-=-; Gustafsson et al., 1995; Ramani et al., 1995). Such modifications range from simple adjustments to the circular shape of the collimator, using one or more sets of parallel independent jaws that move... |

3 |
Dynamic stereotactic radiosurgery
- Podgorsak
- 1988
(Show Context)
Citation Context ...h conventional LINAC systems, several investigators have experimented with altering the traditional circular collimator shape to modify the beam shape and to produce non-spherical dose distributions (=-=Podgorsak et al., 1988-=-; Colombo et al., 1990; Leavitt et al., 1991; Carol, 1993; Nedzi et al., 1993; Fraass et al., 1995; Gustafsson et al., 1995; Ramani et al., 1995). Such modifications range from simple adjustments to t... |

2 |
The Inverse Problem
- Goitein
- 1990
(Show Context)
Citation Context ... given desired dose distribution in the tumor and surrounding tissues. This problem has already received considerable attention in the context of conventional radiosurgical systems (for instance, see =-=[6, 13, 15]-=-). These systems, such as the LINAC [19] and the Gamma Current address: Silicon Graphics Inc., 2011 N. Shoreline Blvd., ms. 984, Mountain View, CA 94043-1389. E-mail: rzt@engr.sgi.com y Neurosurgery D... |

2 |
3-D radiation therapy treatment planning: overview and assessment
- Jacky
- 1990
(Show Context)
Citation Context ... given desired dose distribution in the tumor and surrounding tissues. This problem has already received considerable attention in the context of conventional radiosurgical systems (for instance, see =-=[6, 13, 15]-=-). These systems, such as the LINAC [19] and the Gamma Current address: Silicon Graphics Inc., 2011 N. Shoreline Blvd., ms. 984, Mountain View, CA 94043-1389. E-mail: rzt@engr.sgi.com y Neurosurgery D... |

2 |
The Verification of an Inverse Problem in Radation Therapy
- Kooy, Barth
- 1990
(Show Context)
Citation Context ...enter-based treatments, in which the tumor region is first approximated by a collection of spheres. Although the inverse dosimetry problem has been mathematically solved in 2-D for a single isocenter =-=[6, 7, 10, 16]-=-, the problem becomes substantially more complex in 3-D [13], especially in the absence of major symmetries. In that case, most proposed systems require the user to specify a set of beams or, in some ... |

2 |
Optimization of external beam radiation therapy
- McDonald, Rubin
- 1977
(Show Context)
Citation Context ...eams or, in some instances, the locations of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming [4, 17, 24, 27], quadratic programming =-=[21, 22, 33]-=-, or simulated annealing [8, 23, 41], to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented in [... |

2 |
Linear accelerator as a neurosurgical tool for stereotactic radiosurgery
- Winston, Lutz
- 1988
(Show Context)
Citation Context ...e discussed at the end of the paper. 1 Introduction Stereotactic radiosurgery is a minimally invasive procedure that uses a focused beam of radiation as an ablative instrument to destroy brain tumors =-=[42]-=-. The beam is produced by a linear accelerator that is moved by a mechanical gantry. To deposit a high dose of radiation in a tumor, while reducing the dose in healthy tissues, a large number of beams... |

2 |
Simultaneous optimization of dynamic multileaf collimation and scanning patterns of compensation filters using a generalized pencil beam algorithm. Med. Phys. 22: 1141--1156
- Gustafsson, Lind, et al.
- 1994
(Show Context)
Citation Context ...ape to modify the beam shape and to produce non-spherical dose distributions (Podgorsak et al., 1988; Colombo et al., 1990; Leavitt et al., 1991; Carol, 1993; Nedzi et al., 1993; Fraass et al., 1995; =-=Gustafsson et al., 1995-=-; Ramani et al., 1995). Such modifications range from simple adjustments to the circular shape of the collimator, using one or more sets of parallel independent jaws that move in and out, to more elab... |

2 | External radiotherapy of prostatic carcinoma: a quadratic optimization of the dose distribution - Menguy, Cinquin, et al. - 1997 |

1 |
Preliminary Clinical Experience with the CyberKnife: Image-Guided Stereotactic Radiosurgery
- Adler, Cox
- 1995
(Show Context)
Citation Context ...-D shape of the tumor. To achieve that goal better than with conventional systems, a new radiosurgical system, called the CyberKnife, has been developed at the Stanford Medical Center by Accuray, Inc.=-=[1]-=-. In this system, the linear accelerator is moved by a general six-degree-of-freedom manipulator arm. This system, depicted in Figure 2, imposes almost no constraints on the beam configurations. In pa... |

1 |
Inverse Treatment Planning for the Cyberknife. Radiosurgery
- Tombropoulos, Latombe, et al.
- 1998
(Show Context)
Citation Context ...ction 7 concludes the paper and suggests areas for future research. The planning techniques implemented in carabeamer are adaptations and extensions of techniques that we have previously presented in =-=[2, 3, 29, 30, 31, 35, 36]-=-. An extensive description of carabeamer and the experimental results obtained with it can be found in [34]. Throughout this paper, we will refer to the physician responsible for developing a treateme... |

1 |
A Random Sampling Scheme for Path Planning," The Int
- Barraquand, Kavraki, et al.
- 1997
(Show Context)
Citation Context ...ormally prove this claim. One can nevertheless notice that similar randomized techniques have also been successfully used to plan collision-free robot motions in high-dimensional configuration spaces =-=[5]-=-. In that case, because obstacles divide the robot's configuration space into only two types of regions (collision and non-collision), it was possible to prove probabilistic completeness, as well as t... |

1 |
Conformal Radiosurgery, chapter 18, pages 249--265. Stereotactic Surgery and Radiosurgery
- Carol
- 1993
(Show Context)
Citation Context ...ions of a few isocenters from which beams can be derived. They then use optimization techniques, such as linear programming [4, 17, 24, 27], quadratic programming [21, 22, 33], or simulated annealing =-=[8, 23, 41]-=-, to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented in [28] sees the critical structures as ... |

1 |
A singly-exponential stratification scheme for semi-algebraic varieties and its applications
- Chazelle, Edelsbrunner, et al.
- 1989
(Show Context)
Citation Context ...qualities. Obviously, we may weight differently the violation of each inequality to prioritize the constraints. The arrangement of N cylinders contains O(N 3 ) cells and takes O(N 3 ) time to compute =-=[9]-=-. Its exact computation is also delicate to implement. Instead, we lay a thin grid of specified resolution over the 3-D space of interest. The voxel matrices of the volume representation described in ... |

1 |
Treatment Planning for Gamma Knife Radiosurgery with Multiple Isocenters
- Flickinger, Lunsford, et al.
- 1990
(Show Context)
Citation Context ... E-mail: rzt@engr.sgi.com y Neurosurgery Department. E-mail: adler@robotics.stanford.edu z Department of Computer Science. E-mail: latombe@cs.stanford.edu Figure 1: Crossfiring beams at a tumor Knife =-=[11]-=-, require that the beam axes intersect at a common point, called the isocenter (as is the case in Figure 1). The resulting isocenter-based treatments are limited to tumors having relatively simple sha... |

1 | Algorithm for Dosimetry of Multiarc Linear-Accelerator Steretotactic Radiosurgery - Luxton, Jozsef, et al. - 1991 |

1 |
Collision Avoidance for Image-Guided Robotic Radiosurgery
- Planning
- 1994
(Show Context)
Citation Context |

1 | Robotic Radiosurgery with Beams of Adaptable Shapes
- Schweikard, Tombropoulos, et al.
- 1995
(Show Context)
Citation Context |

1 | A General Algorithm for Beam Selection in Radiosurgery - Tombropoulos, Latombe, et al. - 1996 |

1 |
Conformal radiosurgery. Stereotactic Surgery and Radiosurgery
- Carol
- 1993
(Show Context)
Citation Context ...d Leong, 1987; Morrill et al., 1991; Rosen et al., 1991), quadratic programming (McDonald and Rubin, 1977; Starkschall, 1984; Ma et al., 1987), or simulated annealing (Webb, 1991; Mohan et al., 1992; =-=Carol, 1993-=-), to determine the radiation energy to send along each beam to approximate the desired dose distribution as closely as possible. A geometric approach presented by Schweikard et al. (1993) sees the cr... |

1 | Linear accelerator radiosurgery of threedimensional irregular targets. Stereotact. Funct - Zanardo - 1990 |

1 | Dynamic field shaping to optimize stereotactic radiosurgery - Takach - 1991 |