6533b7dcfe1ef96bd1271c61
RESEARCH PRODUCT
Study and construction of the quasi-linear subdivision schemes over bi-regular meshs
Yacine Boumzaidsubject
Polynomial generationPolynomial reproduction[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM][INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]Subdivision quad/triangle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Génération des polynômesInterpolation[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]QuasiinterpolationReverse subdivision[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM][ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH]Schémas de subdivisionQuad/triangle subdivisionSubdivision schemesReproduction des polynômesSchémas de subdivision inverseApproximationdescription
Subdivision schemes are commonly used to generate a smooth shape from a much more coarseone. The reverse subdivision is designed to describe a high resolution mesh from a coarse one. Bothof these tools are used in numerous graphical modelisation domains. In this thesis, we focused ontwo distinct aspects: on one hand the construction of quasi-linear subdivision schemes and on theother hand the construction of reverse quad/triangle subdivision schemes. The work, presented inthe context of the subdivision, describes the construction of a new type of subdivision schemes, andtheirs applications to solve some problems coming from the application of linear subdivision schemes.The work presented in the context of the reverse subdivision describes a new method to reverse thequad/triangle subdivision schemes
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-20 |