Continuity of surface texture between adjacent patches promotes the smoothness solution for binocular matches

Curvature continuity between adjacent rational Bézier patches

Zheng, J., G Wang and Y. Liang, Curvature continuity between adjacent rational B&ier patches, Computer Aided Geometric Design 9 (1992) 321-335. This paper discusses the cutvature continuity between two adjacent rational BCzier surfaces which may be rectangular or triangular patches. The necessary and sufficient conditions are derived, and further, a series of simple sufficient conditions are de...

Super-resolved texture tracking of planar surface patches

We present a novel approach to tracking planar surface patches over time. In addition to tracking a patch with full six degrees of freedom, the algorithm also produces a super-resolved estimate of the texture present on the patch. This texture estimate is kept as an explicit model texture image which is re ned over time. We then use it to infer the 3D motion of the patch from the image sequence...

A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution

On Continuity and Smoothness of Group Actions

by joint continuity of 7r at (go, x). If M is not metric the conclusion of Theorem 1 is no longer valid (consider G the circle and M the continuous functions on G with the topology of pointwise convergence). As a corollary, it is not hard to deduce that a Baire separable metric group G for which multiplication is continuous is a topological group (compare [9] and [2, p. 258]). For example the C...

Approximate Continuity for Functional, Triangular Bézier Patches

In this paper, we investigate a relaxation of the C continuity conditions between functional, triangular Bézier patches, allowing for patches to meet approximately C. We analyze the cross boundary continuity of functional triangular Bézier patches, and derive a bound for the discontinuity in the normals between two patches based on their control points. We test our discontinuity bound on a simp...