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» Proof and Computation in Geometry
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COMPGEOM
1995
ACM
15 years 10 months ago
Representation and Computation of Boolean Combinations of Sculptured Models
We outline an algorithm and implementation of a system that computes Boolean combinations of sculptured solids. We represent the surface of the solids in terms of trimmed and untr...
Shankar Krishnan, Atul Narkhede, Dinesh Manocha
CCA
2009
Springer
16 years 28 days ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster
TLCA
2009
Springer
16 years 26 days ago
Syntax for Free: Representing Syntax with Binding Using Parametricity
We show that, in a parametric model of polymorphism, the type ∀α.((α → α) → α) → (α → α → α) → α is isomorphic to closed n terms. That is, the type of closed ...
Robert Atkey
EUROGRAPHICS
2010
Eurographics
16 years 3 months ago
Real-time Realistic Ocean Lighting using Seamless Transitions from Geometry to BRDF
Realistic animation and rendering of the ocean is an important aspect for simulators, movies and video games. By nature, the ocean is a difficult problem for Computer Graphics: i...
Eric Bruneton, Fabrice Neyret, Nicolas Holzschuch
SI3D
2006
ACM
16 years 9 days ago
Perceptually driven interactive geometry remeshing
Visual patterns on the surface of an object, such as two dimensional texture, are taken into consideration as part of the geometry remeshing process. Given a parameterized mesh an...
Lijun Qu, Gary W. Meyer