232 research outputs found

    Guided mesh normal filtering

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    The joint bilateral filter is a variant of the standard bilateral filter, where the range kernel is evaluated using a guidance signal instead of the original signal. It has been successfully applied to various image processing problems, where it provides more flexibility than the standard bilateral filter to achieve high quality results. On the other hand, its success is heavily dependent on the guidance signal, which should ideally provide a robust estimation about the features of the output signal. Such a guidance signal is not always easy to construct. In this paper, we propose a novel mesh normal filtering framework based on the joint bilateral filter, with applications in mesh denoising. Our framework is designed as a two-stage process: first, we apply joint bilateral filtering to the face normals, using a properly constructed normal field as the guidance; afterwards, the vertex positions are updated according to the filtered face normals. We compute the guidance normal on a face using a neighboring patch with the most consistent normal orientations, which provides a reliable estimation of the true normal even with a high-level of noise. The effectiveness of our approach is validated by extensive experimental results

    Static/Dynamic Filtering for Mesh Geometry

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    The joint bilateral filter, which enables feature-preserving signal smoothing according to the structural information from a guidance, has been applied for various tasks in geometry processing. Existing methods either rely on a static guidance that may be inconsistent with the input and lead to unsatisfactory results, or a dynamic guidance that is automatically updated but sensitive to noises and outliers. Inspired by recent advances in image filtering, we propose a new geometry filtering technique called static/dynamic filter, which utilizes both static and dynamic guidances to achieve state-of-the-art results. The proposed filter is based on a nonlinear optimization that enforces smoothness of the signal while preserving variations that correspond to features of certain scales. We develop an efficient iterative solver for the problem, which unifies existing filters that are based on static or dynamic guidances. The filter can be applied to mesh face normals followed by vertex position update, to achieve scale-aware and feature-preserving filtering of mesh geometry. It also works well for other types of signals defined on mesh surfaces, such as texture colors. Extensive experimental results demonstrate the effectiveness of the proposed filter for various geometry processing applications such as mesh denoising, geometry feature enhancement, and texture color filtering

    Correlated Dynamics of the O(P-3) + CHD3(v=0) Reaction : A Joint Crossed-Beam and Quasiclassical Trajectory Study

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    Crossed beam experiments and quasiclassical trajectory computations on an ab initio potential energy surface are performed for the O(P-3) + CHD3(v=0) --> OH(V'=0) + CD3(v(2)=0,2) and OD(v'=0,1) + CHD2(v=0) reactions. Both experiment and theory show that the excitation functions display a concave-up behavior and the angular distributions are backward scattered, indicating a direct rebound mechanism and a tight-bend transition state. The reaction produces mainly ground-state products showing the dominance of a vibrationally adiabatic reaction pathway. The Standard histogram binning cannot reproduce the observed vibrational adiabaticity, Whereas Gausgian binning give good agreement with experitnent

    CofiFab: Coarse-to-fine fabrication of large 3D objects

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    This paper presents CofiFab, a coarse-to-fine 3D fabrication solution, which combines 3D printing and 2D laser cutting for cost-effective fabrication of large objects at lower cost and higher speed. Our key approach is to first build coarse internal base structures within the given 3D object using laser-cutting, and then attach thin 3D-printed parts, as an external shell, onto the base to recover the fine surface details. CofiFab achieves this with three novel algorithmic components. First, we formulate an optimization model to compute fabricatable polyhedrons of maximized volume, as the geometry of the internal base. Second, we devise a new interlocking scheme to tightly connect laser-cut parts into a strong internal base, by iteratively building a network of nonorthogonal interlocking joints and locking parts around polyhedral corners. Lastly, we also optimize the partitioning of the external object shell into 3D-printable parts, while saving support material and avoiding overhangs. These components also consider aesthetics, stability and balancing in addition to cost saving. As a result, CofiFab can efficiently produce large objects by assembly. To evaluate its effectiveness, we fabricate objects of varying shapes and sizes, where CofiFab significantly improves compared to previous methods

    Supersymmetric Pati-Salam Models from Intersecting D6-branes: A Road to the Standard Model

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    We provide a systematic construction of three-family N=1 supersymmetric Pati-Salam models from Type IIA orientifolds on \IT^6/(\IZ_2\times \IZ_2) with intersecting D6-branes. All the gauge symmetry factors SU(4)C×SU(2)L×SU(2)RSU(4)_C\times SU(2)_L \times SU(2)_R arise from the stacks of D6-branes with U(n) gauge symmetries, while the ``hidden sector'' is specified by USp(n)USp(n) branes, parallel with the orientifold planes or their Z2{\bf Z_2} images. The Pati-Salam gauge symmetry can be broken down to the SU(3)C×SU(2)L×U(1)BL×U(1)I3RSU(3)_C\times SU(2)_L\times U(1)_{B-L} \times U(1)_{I_{3R}} via D6-brane splittings, and further down to the Standard Model via D- and F-flatness preserving Higgs mechanism from massless open string states in a N=2 subsector. The models also possess at least two confining hidden gauge sectors, where gaugino condensation can in turn trigger supersymmetry breaking and (some) moduli stabilization. The systematic search yields 11 inequivalent models: 8 models with less than 9 Standard model Higgs doublet-pairs and 1 model with only 2 Standard Model Higgs doublet-pairs, 2 models possess at the string scale the gauge coupling unification of SU(2)LSU(2)_L and SU(2)RSU(2)_R, and all the models possess additional exotic matters. We also make preliminary comments on phenomenological implications of these models.Comment: RevTeX4, 48 pages, 18 tables, typos fixed, added comments on confinement of massless chiral exotics, accepted for publication in Nucl. Phys.

    Quasi-Supersymmetric G3G^3 Unification from Intersecting D6-Branes on Type IIA Orientifolds

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    We construct three quasi-supersymmetric G3G^3 GUT models with S3S_3 symmetry and gauge coupling unification from intersecting D6-branes on Type IIA orientifolds. The Standard Model fermions and Higgs doublets can be embedded into the bifundamental representations in these models, and there is no any other unnecessary massless representation. Especially in Model I with gauge group U(4)3U(4)^3, we just have three-family SM fermions and three pairs of Higgs particles. The G3G^3 gauge symmetry in these models can be broken down to the Standard Model gauge symmetry by introducing light open string states. And 1 TeV scale supersymmetry breaking soft masses imply the reasonable intermediate string scale.Comment: Latex, 14 pages, typos fixed, version to appear in PL

    D6-brane Splitting on Type IIA Orientifolds

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    We study the open-string moduli of supersymmetric D6-branes, addressing both the string and field theory aspects of D6-brane splitting on Type IIA orientifolds induced by open-string moduli Higgsing (i.e., their obtaining VEVs). Specifically, we focus on the Z_2 x Z_2 orientifolds and address the symmetry breaking pattern for D6-branes parallel with the orientifold 6-planes as well as those positioned at angles. We demonstrate that the string theory results, i.e., D6-brane splitting and relocating in internal space, are in one to one correspondence with the field theory results associated with the Higgsing of moduli in the antisymmetric representation of Sp(2N) gauge symmetry (for branes parallel with orientifold planes) or adjoint representation of U(N) (for branes at general angles). In particular, the moduli Higgsing in the open-string sector results in the change of the gauge structure of D6-branes and thus changes the chiral spectrum and family number as well. As a by-product, we provide the new examples of the supersymmetric Standard-like models with the electroweak sector arising from Sp(2N)_L x Sp(2N)_R gauge symmetry; and one four-family example is free of chiral Standard Model exotics.Comment: 44 pages, 7 figures; The anomaly-free models in Subsections 4.2 and 4.3 presented, references added, typos fixe
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