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Minimal obstructions for 1immersions and hardness of 1planarity testing
, 2009
"... A graph is 1planar if it can be drawn on the plane so that each edge is crossed by no more than one other edge. A non1planar graph G is minimal if the graph G − e is 1planar for every edge e of G. We construct two infinite families of minimal non1planar graphs and show that for every integer n ..."
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Cited by 18 (1 self)
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n ≥ 63, there are at least 2 (n−54)/4 nonisomorphic minimal non1planar graphs of order n. It is also proved that testing 1planarity is NPcomplete.
3D Sound for Virtual Reality and Multimedia
, 2000
"... This paper gives HRTF magnitude data in numerical form for 43 frequencies between 0.212 kHz, the average of 12 studies representing 100 different subjects. However, no phase data is included in the tables; group delay simulation would need to be included in order to account for ITD. In 3D sound ..."
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Cited by 282 (5 self)
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This paper gives HRTF magnitude data in numerical form for 43 frequencies between 0.212 kHz, the average of 12 studies representing 100 different subjects. However, no phase data is included in the tables; group delay simulation would need to be included in order to account for ITD. In 3D sound applications intended for many users, we want might want to use HRTFs that represent the common features of a number of individuals. But another approach might be to use the features of a person who has desirable HRTFs, based on some criteria. (One can sense a future 3D sound system where the pinnae of various famous musicians are simulated.) A set of HRTFs from a good localizer (discussed in Chapter 2) could be used if the criterion were localization performance. If the localization ability of the person is relatively accurate or more accurate than average, it might be reasonable to use these HRTF measurements for other individuals. The Convolvotron 3D audio system (Wenzel, Wightman, and Foster, 1988) has used such sets particularly because elevation accuracy is affected negatively when listening through a bad localizers ears (see Wenzel, et al., 1988). It is best when any single nonindividualized HRTF set is psychoacoustically validated using a 113 statistical sample of the intended user population, as shown in Chapter 2. Otherwise, the use of one HRTF set over another is a purely subjective judgment based on criteria other than localization performance. The technique used by Wightman and Kistler (1989a) exemplifies a laboratorybased HRTF measurement procedure where accuracy and replicability of results were deemed crucial. A comparison of their techniques with those described in Blauert (1983), Shaw (1974), Mehrgardt and Mellert (1977), Middlebrooks, Makous, and Gree...
The State of the art in automated usability evaluation of user interfaces
, 2001
"... Usability evaluation is an increasingly important part of the user interface design process. However, usability evaluation can be expensive in terms of time and human resources, and automation is therefore a promising way to augment existing approaches. This article presents an extensive survey of u ..."
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Cited by 230 (1 self)
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Usability evaluation is an increasingly important part of the user interface design process. However, usability evaluation can be expensive in terms of time and human resources, and automation is therefore a promising way to augment existing approaches. This article presents an extensive survey of usability evaluation methods, organized according to a new taxonomy that emphasizes the role of automation. The survey analyzes existing techniques, identifies which aspects of usability evaluation automation are likely to be of use in future research, and suggests new ways to expand existing approaches to better support usability evaluation.
construction of Stein surfaces
 Ann. of Math
, 1998
"... Abstract. The topology of Stein surfaces and contact 3manifolds is studied by means of handle decompositions. A simple characterization of homeomorphism types of Stein surfaces is obtained — they correspond to open handlebodies with all handles of index ≤ 2. An uncountable collection of exotic R 4 ..."
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Cited by 204 (5 self)
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Abstract. The topology of Stein surfaces and contact 3manifolds is studied by means of handle decompositions. A simple characterization of homeomorphism types of Stein surfaces is obtained — they correspond to open handlebodies with all handles of index ≤ 2. An uncountable collection of exotic R 4 ’s is shown to admit Stein structures. New invariants of contact 3manifolds are produced, including a complete (and computable) set of invariants for determining the homotopy class of a 2plane field on a 3manifold. These invariants are applicable to SeibergWitten theory. Several families of oriented 3manifolds are examined, namely the Seifert fibered spaces and all surgeries on various links in S 3, and in each case it is seen that “most ” members of the family are the oriented boundaries of Stein surfaces. 0. Introduction. It is becoming evident that lowdimensional topology is intimately connected with the topology of complex, symplectic and contact manifolds. The differential topology of closed 4manifolds is entwined with that of complex surfaces and symplectic 4manifolds, as is clear from Donaldson theory (for example [Do]) and more recent developments involving the SeibergWitten equations and Gromov invariants (for
Constructivism in Computer Science Education
 Center for Research on Learning and Teaching, University of Michigan
, 1998
"... Constructivism is a theory of learning which claims that students construct knowledge rather than merely recieve and store knowledge transmitted by the teacher. Constructivism has been extremely influential in science and mathematics education, but much less so in computer science education (CSE). T ..."
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Cited by 161 (9 self)
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). This paper surveys constructivism in the context of CSE, and shows how the theory can supply a theoretical basis for debating issues and evaluating proposals. An analysis of constructivism in computer science education leads to two claims: (1) students do not have an e#ective model of a computer, and (2
Kinectfusion: realtime 3D reconstruction and interaction using a moving depth camera
 In Proc. UIST
, 2011
"... Figure 1: KinectFusion enables realtime detailed 3D reconstructions of indoor scenes using only the depth data from a standard Kinect camera. A) user points Kinect at coffee table scene. B) Phong shaded reconstructed 3D model (the wireframe frustum shows current tracked 3D pose of Kinect). C) 3D mo ..."
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Cited by 145 (20 self)
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Figure 1: KinectFusion enables realtime detailed 3D reconstructions of indoor scenes using only the depth data from a standard Kinect camera. A) user points Kinect at coffee table scene. B) Phong shaded reconstructed 3D model (the wireframe frustum shows current tracked 3D pose of Kinect). C) 3D
Planar algebras, i
, 1999
"... We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces a finite index subfactor of a II1 factor, and vice versa. At first glance there is nothing planar about ..."
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Cited by 115 (5 self)
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We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces a finite index subfactor of a II1 factor, and vice versa. At first glance there is nothing planar
Rgbd mapping: Using depth cameras for dense 3d modeling of indoor environments
 In RGBD: Advanced Reasoning with Depth Cameras Workshop in conjunction with RSS
, 2010
"... Abstract RGBD cameras are novel sensing systems that capture RGB images along with perpixel depth information. In this paper we investigate how such cameras can be used in the context of robotics, specifically for building dense 3D maps of indoor environments. Such maps have applications in robot ..."
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Cited by 146 (13 self)
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, followed by pose optimization to achieve globally consistent maps. We evaluate RGBD Mapping on two large indoor environments, and show that it effectively combines the visual and shape information available from RGBD cameras. 1
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