Representation of a digitized surface by triangular faces

representation of a digitized surface by triangular faces

this paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. the method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. the method allows the measurement of the local quality ...

Representation Learning by Rotating Your Faces

The large pose discrepancy between two face images is one of the fundamental challenges in automatic face recognition. Conventional approaches to pose-invariant face recognition either perform face frontalization on, or learn a pose-invariant representation from, a non-frontal face image. We argue that it is more desirable to perform both tasks jointly to allow them to leverage each other. To t...

The Triangular Theorem of Eight and Representation by Quadratic Polynomials

We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n + 1)/2. In particular, we show that f(x1, x2, . . . , xk) = b1Tx1 + · · · + bkTxk , for fixed positive integers b1, b2, . . . , bk, represents every nonnegative integer if and only if it represents 1, 2, 4, 5, and 8. Moreover, if ‘cross-terms’ are allowed in ...

Triangular Bézier sub-surfaces on a triangular Bézier surface

This paper considers the problem of computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. The triangular sub-patch is defined as a composition of the triangular surface and a domain surface that is also a triangular Bézier patch. Based on de Casteljau recursions and shifting operators, previous methods express the control points of the triangular sub-pat...

Perception And Representation of Faces