I have this issue, as seen on the map room, often. I don't know what it's called but it affects a number of objects in AHII, I also get a situation often where edges will seem jagged and moving at a distance.

I know my system RAM is very low and that'll be addressed soon. My frame rate is pretty decent with moderate eye candy I just have a few weird things like the picture.
DXDIAG   Operating System: Windows 7 Home Premium 64-bit (6.1, Build 7601) Service Pack 1 (7601.win7sp1_gdr.110622-1506)
           Language: English (Regional Setting: English)
System Manufacturer: Compaq-Presario
       System Model: BM412AA-ABA CQ5600Y
               BIOS: Phoenix - AwardBIOS v6.00PG
          Processor: AMD Athlon(tm) II 170u Processor, ~2.0GHz
             Memory: 2048MB RAM
Available OS Memory: 2046MB RAM
          Page File: 1907MB used, 3208MB available
        Windows Dir: C:\Windows
    DirectX Version: DirectX 11
DX Setup Parameters: Not found
   User DPI Setting: Using System DPI
 System DPI Setting: 96 DPI (100 percent)
    DWM DPI Scaling: Disabled
     DxDiag Version: 6.01.7601.17514 64bit Unicode
------------
DxDiag Notes
------------
      Display Tab 1: No problems found.
        Sound Tab 1: No problems found.
          Input Tab: No problems found.
--------------------
DirectX Debug Levels
--------------------
Direct3D:    0/4 (retail)
DirectDraw:  0/4 (retail)
DirectInput: 0/5 (retail)
DirectMusic: 0/5 (retail)
DirectPlay:  0/9 (retail)
DirectSound: 0/5 (retail)
DirectShow:  0/6 (retail)
---------------
Display Devices
---------------
          Card name: ATI Radeon HD 5570
       Manufacturer: Advanced Micro Devices, Inc.
          Chip type: ATI display adapter (0x68D9)
           DAC type: Internal DAC(400MHz)
         Device Key: Enum\PCI\VEN_1002&DEV_68D9&SUBSYS_30501682&REV_00
     Display Memory: 1783 MB
   Dedicated Memory: 1016 MB
      Shared Memory: 767 MB
       Current Mode: 1680 x 1050 (32 bit) (60Hz)
       Monitor Name: HP w2007 Wide LCD Monitor
      Monitor Model: HP w2007
         Monitor Id: HWP26A7
        Native Mode: 1680 x 1050(p) (59.954Hz)
        Output Type: DVI
        Driver Name: aticfx64.dll,aticfx64.dll,aticfx64.dll,aticfx32,aticfx32,aticfx32,atiumd64.dll,atidxx64.dll,atidxx64.dll,atiumdag,atidxx32,atidxx32,atiumdva,atiumd6a.cap,atitmm64.dll
Driver File Version: 8.17.0010.1094 (English)
     Driver Version: 8.892.0.0
        DDI Version: 11
       Driver Model: WDDM 1.1
  Driver Attributes: Final Retail
   Driver Date/Size: 9/8/2011 12:32:58, 862720 bytes
        WHQL Logo'd: n/a
    WHQL Date Stamp: n/a
  Device Identifier: {D7B71EE2-2B99-11CF-7471-5A10BEC2C535}
          Vendor ID: 0x1002
          Device ID: 0x68D9
          SubSys ID: 0x30501682
        Revision ID: 0x0000
 Driver Strong Name: oem90.inf:ATI.Mfg.NTamd64.6.1:ati2mtag_Evergreen:8.892.0.0:pci\ven_1002&dev_68d9
     Rank Of Driver: 00E62001
        Video Accel: ModeMPEG2_A ModeMPEG2_C 
   Deinterlace Caps: {6E8329FF-B642-418B-BCF0-BCB6591E255F}: Format(In/Out)=(YUY2,YUY2) Frames(Prev/Fwd/Back)=(0,0,1) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_PixelAdaptive 
                     {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(YUY2,YUY2) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_BOBVerticalSt
 retch 
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(YUY2,YUY2) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY 
                     {6E8329FF-B642-418B-BCF0-BCB6591E255F}: Format(In/Out)=(UYVY,UYVY) Frames(Prev/Fwd/Back)=(0,0,1) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_PixelAdaptive 
                     {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(UYVY,UYVY) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_BOBVerticalSt
 retch 
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(UYVY,UYVY) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY 
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(YV12,0x32315659) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {3C5323C1-6FB7-44F5-9081-056BF2EE449D}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,2) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_PixelAdaptive 
                     {552C0DAD-CCBC-420B-83C8-74943CF9F1A6}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,2) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_PixelAdaptive 
                     {6E8329FF-B642-418B-BCF0-BCB6591E255F}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,1) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_PixelAdaptive 
                     {335AA36E-7884-43A4-9C91-7F87FAF3E37E}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY DeinterlaceTech_BOBVerticalSt
 retch 
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(NV12,0x3231564e) Frames(Prev/Fwd/Back)=(0,0,0) Caps=VideoProcess_YUV2RGB VideoProcess_StretchX VideoProcess_StretchY 
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(IMC1,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(IMC2,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(IMC3,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(IMC4,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(S340,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
                     {5A54A0C9-C7EC-4BD9-8EDE-F3C75DC4393B}: Format(In/Out)=(S342,UNKNOWN) Frames(Prev/Fwd/Back)=(0,0,0) Caps=
       D3D9 Overlay: Not Supported
            DXVA-HD: Not Supported
       DDraw Status: Enabled
         D3D Status: Enabled
         AGP Status: Enabled
-------------
Sound Devices
-------------
            Description: Speakers (Realtek High Definition Audio)
 Default Sound Playback: Yes
 Default Voice Playback: Yes
            Hardware ID: HDAUDIO\FUNC_01&VEN_10EC&DEV_0888&SUBSYS_103C2A6C&REV_1002
        Manufacturer ID: 1
             Product ID: 100
                   Type: WDM
            Driver Name: RTKVHD64.sys
         Driver Version: 6.00.0001.6449 (English)
      Driver Attributes: Final Retail
            WHQL Logo'd: n/a
          Date and Size: 8/30/2011 17:28:46, 3069032 bytes
            Other Files: 
        Driver Provider: Realtek Semiconductor Corp.
         HW Accel Level: Basic
              Cap Flags: 0x0
    Min/Max Sample Rate: 0, 0
Static/Strm HW Mix Bufs: 0, 0
 Static/Strm HW 3D Bufs: 0, 0
              HW Memory: 0
       Voice Management: No
 EAX(tm) 2.0 Listen/Src: No, No
   I3DL2(tm) Listen/Src: No, No
Sensaura(tm) ZoomFX(tm): No