Abstract: A method for preparing a long-chain branched polypropylene includes subjecting a T-reagent to a polymerization reaction with propylene in the presence of a catalyst composition. The catalyst composition includes an alkylaluminoxane and a metallocene-based catalyst. The metallocene-based catalyst contains a metal selected from the group consisting of titanium (Ti), zirconium (Zr), and hafnium (Hf). The T-reagent having an alkenyl silyl functional group is selected from the group consisting of 1,2-bis[dimethyl(vinyl)silyl]ethane, dimethyldivinylsilane, 7-octenyldimethyl(vinyl)silane, 7-octenyldimethyl(allyl)silane, 4-(but-3-enyl)phenyldimethyl(vinyl)silane, 4-(but-3-enyl)phenyldimethyl(allyl)silane, and combinations thereof.

Abstract: A transform apparatus applied in an image processing system with an image capture module is disclosed. The transform apparatus comprises a geometry information detector, a parameter setup unit, a primitive assembly unit and a geometry processing circuit. The geometry information detector measures geometry information of the image capture module. The parameter setup unit calculates geometry parameters and determines whether to assert an enable signal according to the geometry information. The primitive assembly unit receives an original vertex list and the enable signal to generate a vertex/ID flow. The geometry processing circuit receives the geometry parameters and performs geometry transform operations over the vertex/ID flow in response to whether the first enable signal is asserted to generate a modified vertex list. The geometry information comprises at least one of a displacement and rotation angles of the image capture module.

Abstract: A vertex processing device applied in an image processing system having an image capture module is disclosed. The image capture module generates camera images. The vertex processing device comprises a coefficient interpolation unit and a coordinate modifying unit. The coefficient interpolation unit generates an interpolated warping coefficient for each camera image with respect to each vertex from a vertex list based on n number of warping coefficients and its original texture coordinates in each camera image. The coordinate modifying unit calculates modified texture coordinates in each camera image for each vertex according to the interpolated warping coefficient and its original texture coordinates in each camera image. The vertex list comprises vertices with data structures that define vertex mapping between the camera images and a panoramic image. The n number of warping coefficients correspond to n number of overlap regions in the panoramic image.

Abstract: A vertex processing device applied in an image processing system having an image capture module is disclosed. The image capture module generates camera images. The vertex processing device comprises a coefficient interpolation unit and a coordinate modifying unit. The coefficient interpolation unit generates an interpolated warping coefficient for each camera image with respect to each vertex from a vertex list based on n number of warping coefficients and its original texture coordinates in each camera image. The coordinate modifying unit calculates modified texture coordinates in each camera image for each vertex according to the interpolated warping coefficient and its original texture coordinates in each camera image. The vertex list comprises vertices with data structures that define vertex mapping between the camera images and a panoramic image. The n number of warping coefficients correspond to n number of overlap regions in the panoramic image.

Abstract: A transform apparatus applied in an image processing system with an image capture module is disclosed. The transform apparatus comprises a geometry information detector, a parameter setup unit, a primitive assembly unit and a geometry processing circuit. The geometry information detector measures geometry information of the image capture module. The parameter setup unit calculates geometry parameters and determines whether to assert an enable signal according to the geometry information. The primitive assembly unit receives an original vertex list and the enable signal to generate a vertex/ID flow. The geometry processing circuit receives the geometry parameters and performs geometry transform operations over the vertex/ID flow in response to whether the first enable signal is asserted to generate a modified vertex list. The geometry information comprises at least one of a displacement and rotation angles of the image capture module.