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    • 2. 发明授权
    • Multiplication circuit having rounding function
    • 具有舍入功能的乘法电路
    • US5500812A
    • 1996-03-19
    • US258991
    • 1994-06-13
    • Mana SaishiTakayuki Minemaru
    • Mana SaishiTakayuki Minemaru
    • G06F7/38G06F7/499G06F7/52G06F7/53G06F7/533
    • G06F7/523G06F7/49968G06F7/49973
    • A product P is calculated by multiplying a multiplicand X and a multiplier factor Y which are 16-bit fixed-point numbers and binary numbers in two's complement notation. Thus obtained product P is 31-bit length and the most significant bit thereof is a sign bit. Further, the product P is rounded down or rounded off to obtain a 16-bit rounded result PR. At this time, the 15-bit rounding data R to be added to the product P is changed according to the sign of the product P which is predicted so as to obtain respective rounded results which have the same absolute value from the two products which have different signs from each other and the same absolute value. In detail, in a case of rounding-down, "0000" and "TFFF" (both in hexadecimal numeral) are respectively generated as the rounding data when the product P is positive and when the product P is negative. In a case of rounding-off, "4000" and "3FFF" (both in hexadecimal numeral) are respectively generated as the rounding data R when the product P is positive and when the product P is negative. The rounding data is added to the less significant 15 bits of the thus calculated product P and the less significant 15 bits of the thus added result are deleted to make the remaining 16 bits the rounded product PR.
    • 通过乘以被乘数X和乘法因子Y来计算乘积P,乘数Y是16位定点数和二进制补码的二进制数。 这样获得的商品P是31位长度,其最高有效位是符号位。 此外,产品P向下舍入或舍入,以获得16位舍入结果PR。 此时,根据预测的乘积P的符号来改变要添加到乘积P的15位舍入数据R,从而获得具有相同绝对值的相应舍入结果, 彼此不同的迹象和绝对值相同。 详细地说,在舍入的情况下,当产品P为正时以及产品P为负时,分别产生“0000”和“TFFF”(均为十六进制数)作为舍入数据。 在四舍五入的情况下,当产品P为正时和产品P为负时,分别产生“4000”和“3FFF”(均为十六进制数)作为舍入数据R. 舍入数据被添加到如此计算的乘积P的较不显着的15位,并且因此相加结果的较低有效15位被删除以使剩余的16位成为舍入乘积PR。
    • 3. 发明授权
    • Hybrid interpolation and non-interpolation method and apparatus for
image enlarging and contracting
    • 用于图像放大和缩小的混合插值和非插值方法和装置
    • US5400154A
    • 1995-03-21
    • US976029
    • 1992-11-13
    • Hisashi TakayamaMikio FujiwaraTakayuki MinemaruSatoshi Takayama
    • Hisashi TakayamaMikio FujiwaraTakayuki MinemaruSatoshi Takayama
    • G06F3/153G06T3/40G09G5/36H04N1/393
    • G06T3/4007
    • Image data is processed to enlarge and contract an original image, represented by the data, by P times in an X-axis direction while the data is subjected to interpolation. The letter P denotes an arbitrary positive rational number. It is supposed that each of regions among pixels of the original image is divided into sub areas having a number of N by M, that is, N in the X-axis direction and M in a Y-axis direction. The letter N denotes an arbitrary integer equal to or greater than 2. The letter M denotes an arbitrary integer equal to or greater than 1. An N-time interpolation enlarging device or step serves to execute an interpolation process determined by an original-image sub area corresponding to a pixel of an enlargement/contraction-resultant image while simultaneously generating a plurality of pieces of process-resultant data representing a part of an image enlarged from the original image by N times in the X-axis direction. An arbitrary-magnification enlarging/contracting device or step serves to subject the plurality of the pieces of the process-resultant data to image enlargement and contraction at an arbitrary magnification in the X-axis direction without executing interpolation, and also serves to process the plurality of the pieces of the process-resultant data to enlarge and contract an image, represented by the plurality of the pieces of the process-resultant data, by P/N times in the X-axis direction.
    • 对数据进行插值处理,对由数据表示的原始图像进行X轴方向的P倍的放大缩小处理。 字母P表示任意的正有理数。 假设原始图像的像素中的每个区域被划分为具有N个数M,即X轴方向上的N和Y轴方向上的M的子区域。 字母N表示等于或大于2的任意整数。字母M表示等于或大于1的任意整数。N次插值放大装置或步骤用于执行由原始图像子步骤确定的插值处理 对应于放大/缩小合成图像的像素的区域,同时在X轴方向上同时生成表示从原始图像放大的图像的一部分的多个处理结果数据N次。 任意倍率放大/缩小装置或步骤用于使处理结果数据的多个片段在X轴方向上以任意倍率进行图像放大和缩小,而不执行插值,并且还用于处理多个 的处理结果数据的片段,以由多个处理结果数据表示的图像在X轴方向上扩展和收缩P / N倍。