461 results about "Trigonal crystal system" patented technology

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.

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.

The triangular-pyramidal cube-corner retroreflective sheeting is constituted so that a pair of triangular-pyramidal cube-corner retroreflective elements partitioned by three lateral faces (faces a1, b1, and c1; faces a2, b2, and c2; . . . ) almost perpendicularly intersecting each other because V-shaped grooves having substantially-symmetric cross sections intersect each other are arranged in a closest-packed state so as to protrude to one side on a common bottom plane (S-S'), opposite faces (faces c1 and c2) of this pair of triangular-pyramidal retroreflective elements share a base (x), the bottom plane (S-S') is a common plane including bases (z and z) of one-side lateral faces (faces a1 and a2) and bases (y and y) of the other-side lateral faces (faces b1 and b2) of this pair of triangular-pyramidal retroreflective elements, this pair of triangular-pyramidal retroreflective elements have faced lateral faces (faces c1 and c2) having shapes different from each other, and heights from the bottom plane (S-S') up to apexes of the elements are different from each other.

A device for measuring the mass center of an object consists of weighing sensors, a measuring table, a tribrach, supporting legs and a computer. Three height adjustable supporting legs are arranged below three feet of the tribrach, three weighting sensors are arranged on the three feet, the three weighting sensors are accurately positioned, and the position points are respectively A, B and C which take an equiangular triangle distribution; the measuring table is arranged on the three weighting sensors, and needs leveling during measurement, the table is marked with marking scales, and rectangular coordinates are established; and three protective supporting studs are also arranged between the tribrach and the measuring table. The three points of A, B and C bear different forces when an object to be measured is put on a horizontal table, the 2D coordinates of the mass center of the measured object are obtained by moment balance calculation, and the 3D coordinate of the mass center can be obtained only by measuring the 2D coordinates of the mass center after the measured object is turned by 90 degrees. The mass center can be obtained quickly and reliably by adopting the computer to acquire and process data.

A three-dimensional shape measuring apparatus includes a line laser light source (1) and an image capturing device (2). A three-dimensional shape measuring method and apparatus is characterized by irradiating a line laser beam to an object (3) to be measured from a laser projecting device, imaging points (6) irradiated with the laser beam by the image capturing device (2, detecting points on taken images as intersections (8), each of the points being detected from the taken images and being detected as a common point where line laser beams pass, deriving equations including the positions of the laser planes and the three-dimensional positions of the intersections as unknowns based on the detected intersections, determining the three-dimensional positions of the intersections and the positions of the laser planes by solving the derived equations as simultaneous equations, calculating by triangulation the three-dimensional positions of the points irradiated with the laser beams other than the intersections by using the positions of laser planes, and obtaining the three-dimensional shape of the object by repeating the series of processes.

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.

A method for filling the space between two neighboring polyline ribs is disclosed. The method, called ladder triangulation, likens two ribs, which generally outline a complex structure, to the two rails of a ladder. The ladder triangulation is built by adding rungs, each rung connecting a node on one rib to a node on the other rib and thereby (after the first rung) creating one more triangle. In essence the first rung connects node 1 of polyline 1 to node 1 of polyline 2, and the second rung connects either node 1 polyline 1 to node 2 polyline 2 or else node 1 polyline 2 to node 2 polyline 1, whichever rung is shorter. There are (n1+n2)/2 such rungs where n1 and n2 are the respective node counts of the two polylines, and computation is linear with node count. Where there are multiple polylines, the same process is repeated between polylines 2 and 3, 3 and 4, etc. and may also be repeated between the last polyline and the first one (cyclic rib fill). The entire set of ribs is filled in time proportional to the total node count. Moreover, if a single rib is subsequently modified by an editing process, a triangulation can be updated rapidly by recomputation of just the two ladder triangulations involving that rib.

This invention discloses a three-dimension image forming method by use of compound code multi-resolution, that is the three-dimension digit technique based on the combination of lattice project and strip project. The method adopts the image-forming device composed of digit project shining emitter, image sensor receiver and image processor. It is first to use lattice project three-dimension digit image-forming without phase fussy characteristics and to get the three-dimension depth image of low resolution rate with lattice code and to project the strip onto the object surface; to use the characteristics of high accuracy of space phase modulation; to de the phase extension by combination with acquired object low resolution rate and to further get the accurate three-dimension image with multi-resolution of the object to be measured.

The invention relates to a method of making a path planning for three-dimensional dispersed point set based on free curved surface, fitting the 3D discrete data points into a triangular Bernstein-Be'zier curved surface by the interpolation reconstruction of dispersed data points of the free curved surface and then using the Bernstein-Be'zier curved surface to make six-dimensional track planning for the obtained interpolation curved surface; for track planning in the arbitrary direction, able to obtain the track planning by transforming this coordinate direction to x-y coordinate direction; the Bernstein-Be'zier curved surface is a ternary triangular Bernstein-Be'zier curved surface. The invention utilizes the Bernstein-Be'zier curved surface to make the fitting and plan six-dimensional processing track on the interpolation curved surface for the curved surface of 3D dispersed point set data, thus implementing the path planning for 3D dispersed point set data of arbitrary free curved surface.

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.

The invention relates to a method for detecting self collision of a flexible fabric based on a quad bounding box tree. The method is characterized in that: the quad bounding box tree is built for fabric geometric primitives; triangle facets which are impossible to intersect in a coarse detection stage and a precise intersection stage are filtered by a normal vector cone method, a triangle facet gravity center detecting method and a planar ipsilateral filtering method based on the quad bounding box tree respectively so as to greatly reduce the computation of intersection tests. The method comprises the following steps: (1) building the quad bounding box tree with a compact structure by using a space position relation of the fabric geometric primitives; (2) excluding triangle facet pairs impossible to intersect based on the quad bounding box tree by the normal vector cone method; (3) filtering the triangle facets of which the distance is larger than a preset threshold value according to the distance between the gravity centers of two triangle facets; and (4) filtering the unnecessary line planar intersection by the precise detection among basic geometrical elements and the planar ipsilateral filtering method.

The invention discloses a Delaunay triangulation network subdividing method based on space curved surface constraint. The method comprises the following steps of: rebuilding a space fractured layer curved surface by fractured layer data; initially rebuilding layer positions to acquire a space triangular curved surface; finding out a space triangle which crosses over the fracture surface in the area in which a reverse fracture layer exits and deleting the space triangle; filling a hole or a gap formed by deleting the triangle to ensure that a boundary of the space triangulation network is a convex shell or the edge generated by filling the edge of the area concave at random cannot cross over the fracture surface. The method has the active effects that a triangular part of the three-dimensional curved surface under the space curved surface constraint is proposed, so that the ground layer rebuilding problem under a complicated geologic structure condition is solved, and a technical support is provided for interpolation of layer positions, drawing of contour lines and the like.

A backlight assembly for providing liquid crystal display enhanced brightness of light with a lower consumption of electricity includes a light guide plate having brightness enhancing recesses formed on a bottom surface and light collecting grooves formed on an upper surface. The brightness enhancing recesses efficiently reflect the light having different directions and the light collecting grooves collects the light reflected by the brightness enhancing recesses.

The triangular mesh generating portion divides the surface of geometry model to be meshed in a meshed manner according to a target element dimension and generates a triangular mesh on the surface of geometry model. The regular mesh generating portion assumes a shaped parallelpiped enclosing the shape to be meshed. The parallelpiped is divided in a meshed manner by the hexahedral element whose distance between the nodes has the substantially same density as the triangular mesh on the surface. The resulting regular mesh located inside the triangular mesh on the surface of geometry model is divided into a tetrahedral meshed manner. The shell meshing area extracting portion extracts a shell-like space between the inner tetrahedral mesh and the triangular mesh on the surface of geometry model. The shell mesh generating portion generates the tetrahedral mesh in the overall shape to be meshed.

Adoption of composite cube-corner retroreflective elements in which groups of each at least two sub-retroreflective elements which are each defined by three lateral faces mutually crossing at approximately right angles, as being configured by three-directional V-shaped parallel groove groups having substantially symmetrical sections and intersecting with each other, and which are arrayed in the closest-packed state, projecting on one side of their common sub-plane (SH-SH), each of said groups of sub-reflective elements being disposed on one main retroreflective element which is defined by three lateral faces mutually crossing at approximately right angles, as being configured by three-directional V-shaped parallel groove groups having substantially symmetrical sections and intersecting with each other, and which is disposed on the main plane (S-S).

A three-dimensional (3D) measuring system includes a triangulation scanner having a projector and a first triangulation camera, the projector including a first circular polarizer, the first triangulation camera including a second circular polarizer, the second circular polarizer having handedness opposite the first circular polarizer.

The invention provides a concentric circles mask comprising a lithography plate with concentric circle arrays, wherein each concentric circle sequentially has an inner ring, a middle ring and an outer ring, and parts corresponding to the inner ring and the outer ring of the concentric circle are lightproof. The invention further provides a graphical substrate manufactured by the concentric circles mask. The graphical substrate has a crown-type structure distributed in arrays, and a central top of the crown-type structure is a triangle conical shape. The invention also provides a manufacture method of the graphical substrate. By using the concentric circles mask, a manufacture flow of the graphical substrate with the crown-type structure can be simplified, the cost can be reduced, and meanwhile problems of crown morphology differences after etching caused by not accurately controlled lithography graphic overlay during batch production, and sheet repeatability due to deformation can be prevented.

The invention belongs to the technical field of a microporous metal-organic framework material and particularly relates to a microporous metal-organic framework material based on isophthalic acid derivatives as well as a preparation method and an application thereof. The chemical formula of the microporous metal-organic framework material provided by the invention has a chemical formula of Zn(pybdc), wherein pybdc<2-> is deprotonated 5-(1-pyrrolidyl)-1,3-phthalic acid and n represents an infinite link of the structural unit. The metal-organic framework material provided by the invention is crystallized in a trigonal system and the space group is R-3m; the metal Zn<2+> is located in the center of a tetrahedron and is tetrachordinate. The microporous metal-organic framework material provided by the invention has a one-dimensional porous channel structure along the direction of axis c and a methylene group of a pentary pyrrole ring stretches into the porous channel; the window of the porous channel is about 4 angstroms and the porosity is 18.6%. The structure of the material provided by the invention has the porous channel, so that the material can be used for safely storing gas or solvent molecules.

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.