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- Mohammed Khachan, Patrick Chenin, Hafsa Deddi
- Computer Vision and Image Understanding
- 2000

- Mohammed Khachan, Patrick Chenin, Hafsa Deddi
- Discrete Applied Mathematics
- 2003

In this paper we introduce the new notion of n-pseudomanifold and n-weakmanifold in an (n + 1)-digital image using (2(n + 1); 3 − 1)-adjacency. For these classes, we prove the digital version of the Jordan–Brouwer separation theorem. To accomplish this objective, we construct a polyhedral representation of the (n + 1)-digital image based on a cubical… (More)

We address the problem of controlling the curvature of a B16zier curve interpolating a given set of data. More precisely, given two points M and N, two directions i! and i, and a constant k, we would like to find two quadratic B6zier curves P1 and r 2 joined with continuity G1, and interpolating the two points M and N, such that the tangent vectors at M and… (More)

- Mohammed Khachan, François Guibault, Hafsa Deddi
- Numerical Algorithms
- 2003

This paper presents an approach based on topology for the determination of characteristics and properties of curves used in the trimming of NURBS surfaces. Through discrete subdivision and topological criteria, a method is presented to determine characteristics of the boundary; such as whether the set of trimming curves forms a set of closed loops, whether… (More)

- Hafsa Deddi
- 1997

- Mohammed Khachan, Patrick Chenin, Hafsa Deddi
- DGCI
- 2000

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