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Thermophysical Algebraic Invariants from Infrared Imagery for Object Recognition
, 1997
"... An important issue in developing a modelbased vision system is the specification of features that are  (a) invariant to viewing and scene conditions, and also  (b) specific, i.e., the feature must have different values for different classes of objects. We formulate a new approach for establishing ..."
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Cited by 4 (1 self)
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type of invariance called Thermophysical Invariance is defined. Features are defined such that they are functions of only the thermophysical properties of the imaged objects. The approach is based on a physicsbased model that is derived from the principle of the conservation of energy applied
Site Change Detection for RADIUS using Thermophysical Algebraic Invariants
"... Research on the formulation of invariant features for modelbased object recognition has mostly been concerned with geometric constructs either of the object or in the imaging process. We describe a new method that identifies invariant features computed from long wave infrared (LWIR) imagery. These ..."
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. These features are called thermophysical invariants and depend primarily on the material composition of the object. Features are defined that are functions of only the thermophysical properties of the imaged materials. A physicsbased model is derived from the principle of conservation of energy applied
Using Elimination Methods to Compute Thermophysical Algebraic Invariants from Infrared Imagery
, 1996
"... We describe a new approach for computing invariant features in infrared (IR) images. Our approach is unique in the field since it considers not just surface reflection and surface geometry in the specification of invariant features, but it also takes into account internal object composition and ther ..."
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Cited by 1 (0 self)
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radiosity. These features are independent of the scene conditions and the scenetoscene transformation of the "driving conditions" such as ambient temperature, and wind speed. The algorithm for deriving the invariant features is based on the algebraic elimination of the transformation parameters
Pfister Involutions
, 2003
"... The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. It is proven that ..."
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Cited by 312 (21 self)
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that, up to degree 16, over any extension over which the algebra splits, the involution is adjoint to a Pfister form. Moreover, cohomological invariants of those algebras with involution are discussed.
Symplectic reflection algebras, CalogeroMoser space, and deformed HarishChandra homomorphism
 Invent. Math
"... To any finite group Γ ⊂ Sp(V) of automorphisms of a symplectic vector space V we associate a new multiparameter deformation, Hκ, of the algebra C[V]#Γ, smash product of Γ with the polynomial algebra on V. The parameter κ runs over points of CP r, where r = number of conjugacy classes of symplectic ..."
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Cited by 280 (39 self)
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‘rational ’ degenerations of the double affine Hecke algebra introduced earlier by Cherednik. Let Γ = Sn, the Weyl group of g = gl n. We construct a 1parameter deformation of the HarishChandra homomorphism from D(g) g, the algebra of invariant polynomial differential operators on the Lie algebra g = gl n
GromovWitten invariants in algebraic geometry
, 1996
"... GromovWitten invariants for arbitrary projective varieties and arbitrary genus are constructed using the techniques from [K. Behrend, B. Fantechi. The Intrinsic Normal Cone.] ..."
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Cited by 199 (2 self)
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GromovWitten invariants for arbitrary projective varieties and arbitrary genus are constructed using the techniques from [K. Behrend, B. Fantechi. The Intrinsic Normal Cone.]
Robust Thermophysicsbased Interpretation of Radiometrically Uncalibrated IR Images for ATR and Site Change Detection
, 1996
"... We recently formulated a new approach for computing invariant features from infrared (IR) images. That approach is unique in the field since it considers not just surface reflection and surface geometry in the specification of invariant features, but it also takes into account internal object compos ..."
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Cited by 6 (1 self)
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composition and thermal state which affect images sensed in the nonvisible spectrum. In this paper we extend the thermophysical algebraic invariance (TAI) formulation for the interpretation of uncalibrated infrared imagery, and further reduce the information that is required to be known about the environment
Invariants of the LWIR Thermophysical Model
"... The temperature of a surface viewed by a longwave infrared camera can be predicted by a thermophysical model (a conservation of energy statement at the surface of a unit volume). However, this prediction currently requires at least 24 hours of previous imagery in order to estimate the parameters of ..."
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parts of Lie group analysis and uses them to find the transformation groups and absolute invariants of the thermophysical model. The goal is to recognize objects based upon a composition of materials that are identified using invariant features of infrared imagery. 1. Introduction Lie group analysis
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