Add to ORKGIn this paper, we describe and analyze several representations for complex shapes, i.e., multi-dimensional, nonmanifold objects with parts of mixed dimensionality, based on simplicial complexes. We review our work on compact and scalable representations for 2D and 3D simplicial complexes embedded in 3D Euclidean space. We propose a dimension-independent representation for simplicial complexes in which all the simplexes are uniquely and explicitly encoded. Finally, we describe a decomposition approach to the representation of non-manifold objects in arbitrary dimensions based on their decomposition into nearly manifold components
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
Vita.In modem designs, manifold and non-manifold objects with planar and sculptured surfaces are use...
Modeling and understanding complex non-manifold shapes is a key issue in several ap-plications inclu...
We propose a compact, dimension-independent data structure for manifold, non-manifold and non-regula...
Solid Modeling is a well-established field. The significance of the contributions of this field is v...
In this paper, we address the problem of representing and manipulating non-manifold, mixed-dimension...
We consider here the problem of representing non-manifold shapes discretized as d-dimensional simpli...
Summary. We consider here the problem of representing non-manifold shapes dis-cretized as d-dimensio...
We propose a compact, dimension-independent data structure for manifold, non-manifold and non-regula...
The Simplicial Multi-Complex (SMC) is a general multiresolution model for representing k-dimensional...
We consider the problem of representing and manipulating non-manifold multi-dimensional shapes, dis...
<p>Let <strong>K</strong> be a simplicial complex with vertex set <em>V</em> = <em>v</em><sub>1</sub...
We address the problem of representing and processing 3D objects, described through simplicial meshe...
Let K be a simplicial complex with vertex set V = v1,…,vn. The complex K is d-representable if there...
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
Vita.In modem designs, manifold and non-manifold objects with planar and sculptured surfaces are use...
Modeling and understanding complex non-manifold shapes is a key issue in several ap-plications inclu...
We propose a compact, dimension-independent data structure for manifold, non-manifold and non-regula...
Solid Modeling is a well-established field. The significance of the contributions of this field is v...
In this paper, we address the problem of representing and manipulating non-manifold, mixed-dimension...
We consider here the problem of representing non-manifold shapes discretized as d-dimensional simpli...
Summary. We consider here the problem of representing non-manifold shapes dis-cretized as d-dimensio...
We propose a compact, dimension-independent data structure for manifold, non-manifold and non-regula...
The Simplicial Multi-Complex (SMC) is a general multiresolution model for representing k-dimensional...
We consider the problem of representing and manipulating non-manifold multi-dimensional shapes, dis...
<p>Let <strong>K</strong> be a simplicial complex with vertex set <em>V</em> = <em>v</em><sub>1</sub...
We address the problem of representing and processing 3D objects, described through simplicial meshe...
Let K be a simplicial complex with vertex set V = v1,…,vn. The complex K is d-representable if there...
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
We present a new method for simplifying simplicial complexes of any type embedded in Euclidean space...
Vita.In modem designs, manifold and non-manifold objects with planar and sculptured surfaces are use...