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461 results about "Trigonal crystal system" patented technology

In crystallography, the trigonal crystal system is one of the seven crystal systems. Sometimes the term rhombohedral lattice system is used as an exact synonym, whereas it is a subset. Crystals in the rhombohedral lattice system are always in the trigonal crystal system, but some crystals such as quartz are in the trigonal crystal system but not in the rhombohedral lattice system. The rhombohedral lattice system consists of the rhombohedral lattice, while the trigonal crystal system consists of the five point groups of the seven space groups with a rhombohedral lattice. There are 25 space groups whose point groups are one of the five in the trigonal crystal system, consisting of the seven space groups associated with the rhombohedral lattice system together with 18 of the 45 space groups associated with the hexagonal lattice system. The trigonal point group describes the symmetry of an object produced by stretching a cube along the body diagonal. The resultant rhombohedral Bravais lattice is generated by three primitive vectors of equal length that make equal angles with one another.

Implantation system for annuloplasty rings

InactiveUS7485142B2Good coaptation of leafletImprove hemodynamic functionSuture equipmentsSurgical needlesEffective lengthShape-memory alloy
Methods for reconfiguring an atrioventricular heart valve that may use systems comprising a partial or complete annuloplasty rings proportioned to reconfigure a heart valve that has become in some way incompetent, a pair of trigonal sutures or implantable anchors, and a plurality of staples which may have pairs of legs that are sized and shaped for association with the ring at spaced locations along its length. These systems permit relative axial movement between the staples and the ring, whereby a patient's heart valve can be reconfigured in a manner that does not deter subtle shifting of the native valve components. Shape-memory alloy material staples may have legs with free ends that interlock following implantation. Annuloplasty rings may be complete or partial and may be fenestrated. One alternative method routes a flexible wire, preferably of shape-memory material, through the bights of pre-implanted staples. Other alternative systems use linkers of shape-memory material having hooked ends to interengage with staples or other implanted supports which, following implantation, decrease in effective length and pull the staples or other supports toward one another so as to create desired curvature of the reconfigured valve. These linkers may be separate from the supports or may be integral with them and may have a variety of shapes and forms. Various of these systems may be implanted non-invasively using a delivery catheter.

Simulation gridding method and apparatus including a structured areal gridder adapted for use by a reservoir simulator

A Flogrid Simulation Gridding Program includes a Flogrid structured gridder. The structured gridder includes a structured areal gridder and a block gridder. The structured areal gridder will build an areal grid on an uppermost horizon of an earth formation by performing the following steps: (1) building a boundary enclosing one or more fault intersection lines on the horizon, and building a triangulation that absorbs the boundary and the faults; (2) building a vector field on the triangulation; (3) building a web of control lines and additional lines inside the boundary which have a direction that corresponds to the direction of the vector field on the triangulation, thereby producing an areal grid; and (4) post-processing the areal grid so that the control lines and additional lines are equi-spaced or smoothly distributed. The block gridder of the structured gridder will drop coordinate lines down from the nodes of the areal grid to complete the construction of a three dimensional structured grid. A reservoir simulator will receive the structured grid and generate a set of simulation results which are displayed on a 3D Viewer for observation by a workstation operator.

Hexagonal architecture

InactiveUS6407434B1Reduce total wirelength interconnect congestionReduce the numberTransistorSemiconductor/solid-state device detailsCapacitanceElectrical conductor
Several inventions are disclosed. A cell architecture using hexagonal shaped cells is disclosed. The architecture is not limited to hexagonal shaped cells. Cells may be defined by clusters of two or more hexagons, by triangles, by parallelograms, and by other polygons enabling a variety of cell shapes to be accommodated. Polydirectional non-orthogonal three layer metal routing is disclosed. The architecture may be combined with the tri-directional routing for a particularly advantageous design. In the tri-directional routing arraingement, electrical conductors for interconnecting terminals of microelectronic cells of an integrated circuit preferrably extend in three directions that are angularly displaced from each other by 60°. The conductors that extend in the three directions are preferrably formed in three different layers. A method of minimizing wire length in a semiconductor device is disclosed. A method of minimizing intermetal capacitance in a semiconductor device is disclosed. A novel device called a "tri-ister" is disclosed. Triangular devices are disclosed, including triangular NAND gates, triangular AND gates, and triangular OR gates. A triangular op amp and triode are disclosed. A triangular sense amplifier is disclosed. A DRAM memory array and an SRAM memory array, based upon triangular or parallelogram shaped cells, are disclosed, including a method of interconnecting such arrays. A programmable variable drive transistor is disclosed. CAD algorithms and methods are disclosed for designing and making semiconductor devices, which are particularly applicable to the disclosed architecture and tri-directional three metal layer routing.

Methods, apparatus and computer program products for automatically generating nurbs models of triangulated surfaces using homeomorphisms

Embodiments automatically generate an accurate network of watertight NURBS patches from polygonal models of objects while automatically detecting and preserving character lines thereon. These embodiments generate from an initial triangulation of the surface, a hierarchy of progressively coarser triangulations of the surface by performing a sequence of edge contractions using a greedy algorithm that selects edge contractions by their numerical properties. Operations are also performed to connect the triangulations in the hierarchy using homeomorphisms that preserve the topology of the initial triangulation in the coarsest triangulation. A desired quadrangulation of the surface can then be generated by homeomorphically mapping edges of a coarsest triangulation in the hierarchy back to the initial triangulation. This quadrangulation is topologically consistent with the initial triangulation and is defined by a plurality of quadrangular patches. These quadrangular patches are linked together by a (U, V) mesh that is guaranteed to be continuous at patch boundaries. A grid is then preferably fit to each of the quadrangles in the resulting quadrangulation by decomposing each of the quadrangles into k2 smaller quadrangles. A watertight NURBS model may be generated from the resulting quadrangulation.

Computing of a resulting closed triangulated polyhedral surface from a first and a second modeled objects

The invention is directed to a computer-implemented process, in a computer-aided geometric design system, for computing a resulting closed triangulated polyhedral surface from a first and a second modeled objects. The first modeled object is modeled by a first closed triangulated polyhedral surface and the second modeled object is modeled by a second closed triangulated polyhedral surface. The process according to the invention comprises:
    • computing intersections between triangles of the first modeled object and triangles of the second modeled object;
    • splitting triangles of the first and second modeled objects into polygonal facets adjacent to said intersections;
    • computing for each triangle and each polygonal facet two couples of winding numbers p and q, wherein the first winding number of each couple of winding numbers is computed from the first closed triangulated polyhedral surface and the second winding number of each couple of winding numbers is computed from the second closed triangulated polyhedral surface;
    • computing a coefficient k for each triangle and each polygonal facet, the coefficient being computed with a function φ having as inputs the two couples of winding numbers p and q of each triangle and each polygonal facet;
    • selecting triangles and polygonal facets according to the computed coefficients;
    • triangulating said selected polygonal facets; and
    • obtaining the resulting closed triangulated polyhedral surface with the selected triangles and the triangulated selected polygonal facets.

Partition machining method of triangular mesh model

InactiveCN103885385ADivide and conquer processingAvoid problems with large differences in region sizesNumerical controlNumerical controlCam
The invention provides a partition machining method of a triangular mesh model, and belongs to the technical field of CAM. The partition machining method of the triangular mesh model is characterized in that the partition machining method includes the steps that neighborhood points within an R radius range are selected so as to calculate differential geometry information of a triangular patch model accurately; the triangular patch model is segmented into sub-regions with different characteristics with characteristic statements of sub-regions to be machined as growth principles, optimization merging is conducted on small-area regions and wrongly judged regions so as to eliminate over-segmentation phenomena, and boundary smoothing is conducted on the sub-regions so as to reduce saw-toothed boundaries; different track strategies are adopted in different types of the sub-regions to be machined, when a constant scallop height track is generated, the circular cutting initial track generation method is adopted in the convex sub-regions and the concave sub-regions, the linear cutting initial track generation method is adopted in the saddle-shaped sub-regions, machining is conducted on tracks at the positions of sub-region boundaries when bias extension is conducted on cutter track projection, and reasonable and complete sub-region machining tracks are obtained. According to the partition machining method, numerical control machining cutter tracks giving consideration to the machining efficiency and the machining quality are effectively generated from the complicated triangular patch model.

Method for rigorous reshaping of stereo imagery with digital photogrammetric workstation

A method for rigorously reshaping a pair of overlapping digital images using a Digital Photogrammetric Workstation (DPW) is disclosed. The overlapping images are imported into the DPW as a pair of originally distorted images having an associated sensor model. The original images are triangulated to adjust sensor parameters. Orthophotos are created with a flat digital terrain matrix (DTM) to leave terrain displacements within themselves, and according to a sensor model and formula for exact projective computations. The orthophotos are aligned by rotation, and interior orientation coordinates of the equivalent vertical frame images are determined. The orthophotos are imported as a pair of overlapping equivalent vertical frame images according to the interior orientation coordinates. A digital terrain model is generated in the DPW using the overlapping equivalent vertical frame images. Another orthophoto is produced using the digital terrain model to remove the measured terrain displacements. In an alternative embodiment, the equivalent vertical frame images are aligned by using the classical pair-wise rectification method or by separately rotating each image without aligning the orthophotos by rotation during their creation. In each embodiment, the sensor model of the original distorted images is dissociated from the orthophotos for subsequently greater distribution and usage of the stereo imagery.

Method for detecting coaxiality and verticality of large container by optical instrument

ActiveCN101929852AEasy and fast measurementRealize autonomous measurementUsing optical meansOptical axisEngineering
The invention relates to a method for detecting coaxiality and verticality of a large container by an optical instrument. The large petrochemical containers have common characteristics such as complicated structure, large geometric dimension and high manufacturing precision requirement. The method for detecting coaxiality and verticality of the large container by the optical instrument comprises the two steps of: (1) establishing a datum axis line by using a micro-alignment telescope, mounting a triangular centre bracket at a measured seal head, and reading an offset value of the bracket centre relative to the datum axis line by a micro-drumwheel; and (2) arranging a verticality measuring scale at the end face of the measured seal head, enabling an auto-collimation image to be completely superposed with a local image with an auto-collimation method when a reflector or a large reflection object in front of the telescope is vertical to the principal optical axis of the telescope, if the auto-collimation image is not superposed with the local image, adjusting the included angle between the large reflection object and the principal optical axis of the telescope to enable the auto-collimation image to be completely superposed with the local image, and computing the value of the verticality by using the scale value of a displacement graticule on the telescope and the read value of the micro-drumwheel. The invention is used for detecting the coaxiality and the verticality of the large container.
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