Surface patches for 3D sketching

Abstract

Figure 1: The 3D sketch on the left implies a surface consisting of eight patches, four of which are complex and highly non-planar. Our system automatically divides these complex patches into smaller ones that are simpler and therefore easier to tessellate (middle). Displaying the simplified patches (right) during interactive sketching can both improve visualization and provide new opportunities for natural interaction, such as sketching on the resulting patches. Abstract3D sketching is an appealing approach for creating concept shapes in the early stages of design. While curve networks alone can convey shape, surfacing the network can dramatically help with visualization and interaction. Unfortunately, surfacing a curve network is an inherently ambiguous problem, and even if the correct surface patches are identified, they can have an arbitrarily complex 3D geometry, making it challenging to produce a reasonable tessellation. In this paper we address the problem of creating light-weight surface tessellations on the fly. Our approach is to identify potential patches in the curve network, and then break complicated patches into simpler ones which can be tessellated using any simple algorithm. Our surfacing approach relies on the observation that breaking a complicated patch into a set of nearly planar ones with small total area seems to create a simple, natural-looking surfaces. We demonstrate our approach on curve networks generated by two different 3D sketching systems.

An algorithm for estimating surface normal from its boundary curves

“…The method of Bessmeltsev et al [9] can get the high quality surface model as shown in Figure 1(c) since they consider design intent in their algorithm but computing time is still a problem. The result of Abbasinejad et al [10] ( Figure 1(d)) looks closer to its design intent than previous three results. Its decomposing process simplify the problem but unestimated geometric information play Result of proposed algorithm which is applied to various curve network input.…”

“…Although it has ation, it is limited by the inferior quality of a thus-yielded model because of the Five methods to create a surface approximation for a single, complex patch boundary: (a) the lofting curve networks driven quadrangulation of Bessmeltsev et al [9] (c) linearized Laplacian smoothing of al. [8] (d) minimal ruled surface of Abbasinejad et al [10] (e) our method, which estimates surface normal that 0000 stimating geometric inforthe design intention on the basis of the proposed method algeometric information by establishing an optimization equation reflecting to create surface model in most previous studies are based posed new method that estimating surface structing 3D model from curve network with better solving approaches adopted by existing the proposed curved surface modeling. Section 4 contains an elaborated description of the algorithm used for the determination of geometric features and the modeling process based on these Section 6 contains conclubased interface over a decade ago, it has been the object of inby Igarashi et al [4] converts a 2D silhouette into a 3D surface by adding an inflated to the surface surrounded by the silhouette, thus enabling intuitive modeling from a simple sketch.…”

“…Although it has the advanbecause of the insufficient Five methods to create a surface approximation for a single, complex patch boundary: (a) the lofting curve networks driven quadrangulation of Bessmeltsev et al [9] (c) linearized Laplacian smoothing of al. [8] (d) minimal ruled surface of Abbasinejad et al [10] (e) our method, which estimates surface normal that exploitation of geometric data.…”

“…The latest method known thus far is the patch decomposition method proposed by Abbasinejad et al [10]. In this m problem of patch generation on a complicated curve is addressed by decomposing patches into quasi-planar ones.…”

Understanding the Role of Physical and Digital Techniques in the Initial Design Processes of Architecture

“…Our findings indicate that architects extract information from sketches and physical mock-ups that they may not obtain from digitally generated models. Previous HCI studies [5,35,1,9,47] propose 2D and 3D sketching systems to enhance the initial design processes of architecture. We believe that these systems can be developed for promoting 3D and 2D explorations by incorporating various physical skill sets (i.e., drawing, model-making, assembling, etc.)…”