Intuitive Design Exploration of Constrained Meshes

Zhao, Xin; Tang, Chengcheng; Yang, Yongliang; Pottmann, Helmut; Mitra, Niloy J.

doi:10.1007/978-3-7091-1251-9_25

Cited by 15 publications

(10 citation statements)

References 8 publications

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“…[SSL*14], where a finite‐element model (FEM) is used to ensure that constructed furniture is stable. Also, general shape editing, in particular free‐form shape editing [BSK*13, ZTY*13], has been investigated in an architectural context by optimizing surfaces such that they fulfill architectural requirements.…”

Section: Related Workmentioning

confidence: 99%

Integrated Structural–Architectural Design for Interactive Planning

Steiner

Mousavian

Saradj

et al. 2016

Computer Graphics Forum

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Traditionally, building floor plans are designed by architects with their usability, functionality and architectural aesthetics in mind; however, the structural properties of the distribution of load‐bearing walls and columns are usually not taken into account at this stage. In this paper, we propose a novel approach for the design of architectural floor plans by integrating structural layout analysis directly into the planning process. In order to achieve this, we introduce a planning tool which interactively enforces checks for structural stability of the current design, and which on demand proposes how to stabilize it if necessary. Technically, our solution contains an interactive architectural modelling framework as well as a constrained optimization module where both are based on respective architectural rules. Using our tool, an architect can predict already in a very early planning stage whose designs are structurally sound such that later changes due to stability reasons can be prevented. We compare manually computed solutions with optimal results of our proposed automated design process in order to show how much our proposed system can help architects to improve the process of laying out structural models optimally.

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Section: Related Workmentioning

confidence: 99%

Integrated Structural–Architectural Design for Interactive Planning

Steiner

Mousavian

Saradj

et al. 2016

Computer Graphics Forum

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“…They compute a local approximant of a high-dimensional constrained shape manifold, which the user can navigate efficiently. Based on this work, Zhao et al [25] developed a guided exploration tool for the local approximant by automatically sampling new shapes. For these approaches, the generated shapes only satisfy the constraints approximately, and the constraint violation may exceed the tolerance for large deformations.…”

Section: Related Workmentioning

confidence: 99%

Interactive design exploration for constrained meshes

Deng

Bouaziz

Deuss

et al. 2015

Computer-Aided Design

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In architectural design, surface shapes are commonly subject to geometric constraints imposed by material, fabrication or assembly. Rationalization algorithms can convert a freeform design into a form feasible for production, but often require design modifications that might not comply with the design intent. In addition, they only offer limited support for exploring alternative feasible shapes, due to the high complexity of the optimization algorithm.We address these shortcomings and present a computational framework for interactive shape exploration of discrete geometric structures in the context of freeform architectural design. Our method is formulated as a mesh optimization subject to shape constraints. Our formulation can enforce soft constraints and hard constraints at the same time, and handles equality constraints and inequality constraints in a unified way. We propose a novel numerical solver that splits the optimization into a sequence of simple subproblems that can be solved efficiently and accurately.Based on this algorithm, we develop a system that allows the user to explore designs satisfying geometric constraints. Our system offers full control over the exploration process, by providing direct access to the specification of the design space. At the same time, the complexity of the underlying optimization is hidden from the user, who communicates with the system through intuitive interfaces.

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“…In this framework, deforma-tion of a PM using positional constraints was made possible; however, computing the osculant is timeconsuming and the deformation only approximately preserves the planarity of faces. [28] uses the same technique to derive a curve-based deformation.…”

Section: Related Workmentioning

confidence: 99%

On Linear Spaces of Polyhedral Meshes

Poranne

Chen

Gotsman

2015

IEEE Trans. Visual. Comput. Graphics

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Abstract-Polyhedral meshes (PM) -meshes having planar faces -have enjoyed a rise in popularity in recent years due to their importance in architectural and industrial design. However, they are also notoriously difficult to generate and manipulate. Previous methods start with a smooth surface and then apply elaborate meshing schemes to create polyhedral meshes approximating the surface. In this paper, we describe a reverse approach: given the topology of a mesh, we explore the space of possible planar meshes with that topology. Our approach is based on a complete characterization of the maximal linear spaces of polyhedral meshes contained in the curved manifold of polyhedral meshes with a given topology. We show that these linear spaces can be described as nullspaces of differential operators, much like harmonic functions are nullspaces of the Laplacian operator. An analysis of this operator provides tools for global and local design of a polyhedral mesh, which fully expose the geometric possibilities and limitations of the given topology.

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Intuitive Design Exploration of Constrained Meshes

Cited by 15 publications

References 8 publications

Integrated Structural–Architectural Design for Interactive Planning

Integrated Structural–Architectural Design for Interactive Planning

Interactive design exploration for constrained meshes

On Linear Spaces of Polyhedral Meshes

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