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14,263
Light Field Rendering
, 1996
"... A number of techniques have been proposed for flying through scenes by redisplaying previously rendered or digitized views. Techniques have also been proposed for interpolating between views by warping input images, using depth information or correspondences between multiple images. In this paper, w ..."
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Cited by 1338 (22 self)
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 the light field. This function completely characterizes the flow of light through unobstructed space in a static scene with fixed illumination. We describe a
UNOBSTRUCTED MODULAR DEFORMATION PROBLEMS
"... Abstract. Let f be a newform of weight k ≥ 3 with Fourier coefficients in a number field K. We show that the universal deformation ring of the mod λ Galois representation associated to f is unobstructed, and thus isomorphic to a power series ring in three variables over the Witt vectors, for all but ..."
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Cited by 7 (0 self)
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Abstract. Let f be a newform of weight k ≥ 3 with Fourier coefficients in a number field K. We show that the universal deformation ring of the mod λ Galois representation associated to f is unobstructed, and thus isomorphic to a power series ring in three variables over the Witt vectors, for all
Visibility Planning: Predicting Continuous Period of Unobstructed Views
"... 1 Introduction We describe asymptotically efficient algorithms for controlling a collection ofsurveillance cameras to acquire video sequences of moving objects (people, vehicles), subject to visibility, ground resolution and positional constraints. Theproblem is motivated by the following surveillan ..."
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1 Introduction We describe asymptotically efficient algorithms for controlling a collection ofsurveillance cameras to acquire video sequences of moving objects (people, vehicles), subject to visibility, ground resolution and positional constraints. Theproblem is motivated by the following surveillance scenario:
Y.J.: Visibility planning: Predicting continuous period of unobstructed views
, 2004
"... Abstract. To perform surveillance tasks effectively, unobstructed views of objects are required e.g. unobstructed video of objects are often needed for gait recognition. As a result, we need to determine intervals for video collection during which a desired object is visible w.r.t. a given sensor. I ..."
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Cited by 1 (1 self)
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Abstract. To perform surveillance tasks effectively, unobstructed views of objects are required e.g. unobstructed video of objects are often needed for gait recognition. As a result, we need to determine intervals for video collection during which a desired object is visible w.r.t. a given sensor
EXPLICIT UNOBSTRUCTED PRIMES FOR MODULAR DEFORMATION PROBLEMS OF SQUAREFREE LEVEL
"... Let f be a newform of weight k ≥ 2, level N, and character ω. Let K be the number field generated by the Fourier coefficients of f. For any prime λ of K Deligne has constructed a semisimple Galois representation ¯ρf,λ: G Q,S∪{ℓ} → GL2 kλ ..."
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Cited by 3 (0 self)
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Let f be a newform of weight k ≥ 2, level N, and character ω. Let K be the number field generated by the Fourier coefficients of f. For any prime λ of K Deligne has constructed a semisimple Galois representation ¯ρf,λ: G Q,S∪{ℓ} → GL2 kλ
0 Unobstructed Kdeformations of Generalized Complex Structures and Bihermitian Structures
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UNOBSTRUCTED GALOIS DEFORMATION PROBLEMS ATTACHED TO MODULAR FORMS (EXPANDED VERSION)
, 2002
"... Let f = ∑ anq n be a newform of weight k ≥ 2, level N, and character ω. Let K be the number field generated by the an. Let λ be a prime of K with residue field kλ of characteristic ℓ and let ¯ρf,λ: G Q,S∪{ℓ} → GL2 kλ be the semisimple Galois representation associated to f by Deligne and Serre; her ..."
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Let f = ∑ anq n be a newform of weight k ≥ 2, level N, and character ω. Let K be the number field generated by the an. Let λ be a prime of K with residue field kλ of characteristic ℓ and let ¯ρf,λ: G Q,S∪{ℓ} → GL2 kλ be the semisimple Galois representation associated to f by Deligne and Serre; here S is any finite set of primes containing all primes dividing N and G Q,S∪{ℓ} is the Galois group of the maximal extension of Q unramified outside S ∪ {ℓ}. The representation ¯ρf,λ is absolutely irreducible for almost all λ; for such λ let R S f,λ denote the universal deformation ring parameterizing lifts of ¯ρf,λ (up to strict equivalence) to two dimensional representations of G Q,S∪{ℓ} over noetherian local rings with residue field kλ (see Section 1.1 for a precise definition). Using recent work of Diamond, Flach, and Guo [5] on the Bloch–Kato conjectures for adjoint motives of modular forms we prove the following theorem. Theorem 1. If k> 2, then (0.1) R S f,λ ∼ = W(kλ)[[T1, T2, T3]] for all but finitely many primes λ of K; here W(kλ) is the ring of Witt vectors of kλ. If k = 2, then (0.1) holds for all but finitely primes λ of K dividing rational primes ℓ such that (0.2) a 2 ℓ ̸ ≡ ω(ℓ) (mod λ). The special case of Theorem 1 for elliptic curves was proven by Mazur [15] using results of Flach [8] on symmetric square Selmer groups of elliptic curves. For weight k ≥ 3 Theorem 1 answers Mazur’s question of [15, Section 11] concerning the finiteness of the set of obstructed primes for modular forms; previously this finiteness was not known for a single modular form. We refer to [15] for a discussion of additional applications of Theorem 1. Our methods are in principle effective; that is, given enough information about the modular form f it is possible to determine a finite set of primes λ containing all those violating (0.1). We study in detail the cases of the six normalized cusp
Obstructed Telescopes vs Unobstructed Telescopes for Wide Field Survey – A Quantitative Analysis
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Distance in Space Syntax
, 2004
"... We explore ways of introducing Euclidean distances associated with street systems represented by axial lines into the two connectivity graphs based on points (or street junctions), and on lines (or streets), the socalled dual and primal representations of the space syntax problem. As the axial line ..."
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We explore ways of introducing Euclidean distances associated with street systems represented by axial lines into the two connectivity graphs based on points (or street junctions), and on lines (or streets), the socalled dual and primal representations of the space syntax problem. As the axial
Embodied Space
"... The paper examines the mutually constituted relations between avatars, space, and artifacts represented in a Gorean community in Second Life. Combining virtual ethnography (i.e., participant observations and indepth interviews) with the growingly important concept of experience design in HumanComp ..."
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The paper examines the mutually constituted relations between avatars, space, and artifacts represented in a Gorean community in Second Life. Combining virtual ethnography (i.e., participant observations and indepth interviews) with the growingly important concept of experience design in Human
Results 1  10
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14,263